Log3 (1-2x)= log3 (5x-2)

Question

Log3 (1-2x)= log3 (5x-2)

Answer 1

Решение
Log3 (1-2x)= log3 (5x-2)
ОДЗ: 
1 - 2x > 0, x < 1/2
5x - 2 > 0, x > 2/5
x ∈ (2/5;1/2)

1 - 2x = 5x - 2
7x = 3
x = 3/7 ∈ (2/5;1/2)
Ответ: x = 3/7